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3 years ago

(-2,-5) and (8,-3) using slope intercept form, write an equation of the line through each pair of points

Mathematics

2 answers:

IrinaK [193]3 years ago

6 0

Answer: y = 1/9x - 3 8/9

Step-by-step explanation:

To find the slope, you must do y2-y1/x2-x1

-3+5/8+10

2/18

1/9 is the slope.

Then, you put the slope into slope-intercept form and take one of the coordinates and add it into the equation. Let's do the second coordinate.

slope-intercept form is y=mx+b

y=mx+b

-3 = 1/9(8) + b

-3 = 8/9 +b

-3 8/9 = b

y = 1/9x - 3 8/9

Hope this helps!

WITCHER [35]3 years ago

4 0

Answer:

Step-by-step explanation:

Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b. ...

Point-slope form = y − y 1 = m ( x − x 1 ) , where ( x 1 , y 1 ) is the point given and m is the slope given.

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lisabon 2012 [21]

Answer: A. f(n) = 4 ∙ 2n-1

Step-by-step explanation:

because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.

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3 years ago

Queston 132

Sever21 [200]

Answer:

68cm^2

Step-by-step explanation:

<h2>A trapezium is a type of quadrilateral with the two opposite sides parallel.</h2>

Area of a trapezium= 1/2(sum of parallel sides)×height

Area of the trapezium= 1/2(5+3)×17

Area of the trapezium= 1/2(8)×17

Area of the trapezium=4×17= 68cm^2

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2 years ago

Suppose a can of paint has a diameter of 14 cm and a height of 16 cm. what is the volume of paint in the can? (to nearest whole

RUDIKE [14]

We are given with two dimensions of a can of paint in which I assume is a cylinder: 14 cm diameter and 16 cm height. In this case, the formula to be used is V = pi*d^2*h/4. substituting the given data above, V = pi*14^2*h/16 equal to 2462 cm^3. units must be consistent throughout to achieve the right answer.

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3 years ago

Read 2 more answers

A hotel wants to put a fence around a circular spa. The radius of the spa is feet. If the fence is built along the immediate edg

MariettaO [177]

For this case we must find the perimeter of the fence, in a circular way, knowing that the perimeter of a circle is given by:

$P = 2 \pi*r$

Where "r" represents the radius of the circle, in this case $r = \frac {5} {\sqrt {2} -1}$

Substituting in the perimeter equation we have:

$P = 2 \pi * \frac {5} {\sqrt {2} -1}$

Rationalizing we have:

$P = \frac {2 \pi * 5 (\sqrt {2} +1)} {(\sqrt {2} -1) * (\sqrt {2} +1)}\\P = \frac {2 \pi*5 \sqrt {2} +2 \pi*5} {2-1}\\P = 10 \pi \sqrt {2} +10 \pi$

Taking out common factor $\pi$ :

$P = (10 \sqrt {2} +10) \pi$

Answer:

$P = (10 \sqrt {2} +10) \pi\ feet$

Option C

3 0

3 years ago

Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about th

Nezavi [6.7K]

The two curves intersect when

$-x^2=6-5x\implies x^2-5x+6=(x-3)(x-2)=0\implies x=2,x=3$

The region bounded by $x=0$ and the two curves "ends" with a vertex where $x=2$ . So over the interval [0, 2], we have $6-5x\ge-x^2$ , so that the volume is

$\displaystyle2\pi\int_0^2x(6-5x+x^2)\,\mathrm dx=\boxed{\frac{16\pi}3}$

That is, each cylindrical shell has a radius of $x$ and height $(6-5x)-(-x^2)=6-5x+x^2$ , and their contribution to the total volume is $2\pi$ times the radius and height.

5 0

4 years ago

(-2,-5) and (8,-3) using slope intercept form, write an equation of the line through each pair of points ​

(-2,-5) and (8,-3) using slope intercept form, write an equation of the line through each pair of points